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55430312400272 = 24291277211344273
BaseRepresentation
bin11001001101001111000000…
…00101001001010110010000
321021021002022202222020112102
430212213200011021112100
524231132234433302042
6313520200050015532
714450464546300145
oct1446474005112620
9237232282866472
1055430312400272
1116730955314a17
1262729235775a8
1324c109613a6a4
14d98bacc7c3cc
15661d0a011b32
hex3269e0149590

55430312400272 has 80 divisors (see below), whose sum is σ = 111241681795440. Its totient is φ = 26725248270336.

The previous prime is 55430312400181. The next prime is 55430312400293. The reversal of 55430312400272 is 27200421303455.

It can be written as a sum of positive squares in 8 ways, for example, as 14975166290176 + 40455146110096 = 3869776^2 + 6360436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251989528 + ... + 1252033800.

It is an arithmetic number, because the mean of its divisors is an integer number (1390521022443).

Almost surely, 255430312400272 is an apocalyptic number.

It is an amenable number.

55430312400272 is an abundant number, since it is smaller than the sum of its proper divisors (55811369395168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55430312400272 is a wasteful number, since it uses less digits than its factorization.

55430312400272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47700 (or 47694 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 55430312400272 in words is "fifty-five trillion, four hundred thirty billion, three hundred twelve million, four hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 1277 2113 2554 4226 5108 8452 10216 16904 20432 33808 37033 44273 61277 74066 88546 122554 148132 177092 245108 296264 354184 490216 592528 708368 980432 1283917 2567834 2698301 5135668 5396602 10271336 10793204 20542672 21586408 43172816 56536621 78250729 93548849 113073242 156501458 187097698 226146484 313002916 374195396 452292968 626005832 748390792 904585936 1252011664 1496781584 1639562009 2712916621 3279124018 5425833242 6558248036 10851666484 13116496072 21703332968 26232992144 43406665936 119461880173 238923760346 477847520692 955695041384 1911390082768 3464394525017 6928789050034 13857578100068 27715156200136 55430312400272